Answer:
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠B as the reference angle,
BC represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine m∠B, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin B = 2/3 = 0.667
∠B = Sin^-1(0.667)
∠B = 41.84° to the nearest hundredth.
